Point Theorems For Compatible Mappings Research Articles

Fixed Point Theorems for Compatible Mappings of Type (R) in Menger Spaces

The aim of this paper is to introduce the concept of weak compatible mappings of type (R) in menger spaces and to prove a fixed point theorem for compatible mappings of type (R) in menger spaces.

Coupled fixed point theorems for compatible mappings in partially ordered

Coupled fixed point theorems for compatible mappings in partially ordered

Fixed Point Theorems for Compatible Mappings of Type (R) in 2-Metric Spaces

The aim of this paper is to introduce the concept of compatible mappings of type (R) in 2-metric spaces and to prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (R) in 2-matric spaces.

Coupled Fixed Point for (<i>α</i>, <i>Ψ</i>)-Contractive in Partially Ordered Metric Spaces Using Compatible Mappings

In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.

Common Fixed Point Theorems for Compatible Mappings of Type (R) in Fuzzy Metric Spaces

In this paper we prove a common fixed point theorem for four mappings of compatible type(R) in fuzzy metric spaces.

Common fixed point theorems for compatible mappings in dislocated metric space

Common fixed point theorems for compatible mappings in dislocated metric space

Coupled coincidence point theorems for compatible mappings in ordered uniform space

Coupled coincidence point theorems for compatible mappings in ordered uniform space

English

English

English

English

Common fixed point theorems for compatible mappings of type(C) in BA-cone metric spaces

The purpose of this paper is to establish common fixed point theorems for four self-mappings using the concepts of compatible mappings of type(C) and weakly compatibility of pairs through rational expressions in a BA-cone metric space.

A Common Fixed Point Result for Compatible Mappings of Type (𝐏) in Metrically Convex Metric Spaces

In the present paper , we improve upon a result on common fixed point theorems for compatible mappings of type (�� ) in metrically convex metric spaces by relaxing continuity restriction of two out of four mappings.

A common fixed point theorem for compatible mappings of type (E) in fuzzy metric space

A common fixed point theorem for compatible mappings of type (E) in fuzzy metric space

Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces

In this work, we introduce the notion of intuitionistic generalized fuzzy metric space by using the idea of intuitionistic fuzzy set due to Atanassov. We determine some coupled coincidence point results for compatibility of two mappings, that is, and , in the framework of intuitionistic generalized fuzzy metric spaces endowed with partial order. An interesting example is also displayed here in support of our result.

Common Fixed Point Theorems for Weakly Compatible Mappings in Fuzzy Metric Spaces Using (JCLR) Property

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of Cho et al. [Y. J. Cho, S. Sedghi and N. Shobe, “Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces,” Chaos, Solitons & Fractals, Vol. 39, No. 5, 2009, pp. 2233-2244.] and several known results existing in the literature.

A Common Fixed Point Theorem for Compatible Mappings of Type (C)

We establish a common fixed-point theorem for six self maps under the compatible mappings of type (C) with a contractive condition [1], which is independent of earlier contractive conditions.

Fixed Point Theorems in Fuzzy Metric Spaces Using Implicit Relations

ABSTRACT The aim of this paper is to present common fixed point theorem in fuzzy metric spaces, for four self maps, satisfying implicit relations. The results of B.Singh and M.S.Chauhan[16] are generalized in this paper. Also, the application of fixed points is studied for the Product spaces. Keywords Fuzzy metric space, H -chainable fuzzy metric space, compatible mappings, weakly compatible mappings, implicit relation and common fixed point [0,1] 1. INTRODUCTION L.Zadeh’s[18] investigation of the notion of fuzzy sets has led to the growth of fuzzy mathematics. The theory of fixed point equations is one of the preeminent basic tools to handle various physical formulations. Fixed point theorems in fuzzy mathematics has got a direction of vigorous hope and vital trust with the study of Kramosil and Michalek[10], who introduced the concept of fuzzy metric space. Later on, this concept of fuzzy metric space was modified by George and Veeramani[4 ]. Sessa[15] initiated the tradition of improving commutative condition in fixed point theorems by introducing the notion of weak commuting property . Further, Jungck[8] gave a more generalized condition defined as compatibility in metric spaces. Recently in 2006, Jungck and Rhoades [9] introduced the concept of weakly compatible maps which were found to be more generalized than compatible maps. Grabiec[5] followed Kramosil and Michalek[10] and he obtained the fuzzy version of Banach contraction principle. Recently in 2000, B.Singh and M.S.Chauhan[16] brought forward the concept of compatibility in fuzzy metric space. Popa[11] proved some fixed point theorems for weakly compatible noncontinous mappings using implicit relations. His work was extended by Imdad[6] who used implicit relations for coincidence commuting property. Singh and Jain[14] extended the result of Popa[11] in fuzzy metric spaces. This paper offers the fixed point theorems on fuzzy metric spaces, which generalize, extend and fuzzify several known fixed point theorems for compatible maps on metric space, by making use of implicit relations. The condition of

Fixed Point Theorem for Compatible Maps with Type(I) and (II) in Intuitionistic Fuzzy Metric Space

In this paper, we give definitions of compatible mappings of type(I) and (II) in intuitionistic fuzzy metric space and obtain common fixed point theorem and example under the conditions of compatible mappings of type(I) and (II) in complete intuitionistic fuzzy metric space. Our research generalize, extend and improve the results given by many authors.

A common fixed point theorem for compatible mappings in fuzzy metric spaces using implicit relation

Using the theory of countable extension of t-norm we prove a common fixed point theorem for compatible mappings satisfying an implicit relation in fuzzy metric spaces.

Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces

In this paper, we give some new definitions of compatible mappings of types (I) and (II) in fuzzy metric spaces and prove some common fixed point theorems for four mappings under the condition of compatible mappings of types (I) and (II) in complete fuzzy metric spaces. Our results extend, generalize and improve the corresponding results given by many authors.

Compatible mappings of type (A-1) and type (A-2) and common fixed points in fuzzy metric spaces

The purpose of this paper is to obtain common fixed point theorems for compatible maps of type (A-I) and type (A2) on fuzzy metric spaces. Our results extend, generalize and fuzzify several fixed point theorems on metric paces, menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces. Mathematics Subject Classification: 47H10, 54H25